Atkin-Lehner |
2- 3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390u |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
476 |
Product of Tamagawa factors cp |
deg |
1264256 |
Modular degree for the optimal curve |
Δ |
-14407649280000000 = -1 · 217 · 33 · 57 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -3 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60208,-1023309] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-1251:1] [29:849:1] |
Generators of the group modulo torsion |
j |
893983109026247037/533616640000000 |
j-invariant |
L |
15.662901013017 |
L(r)(E,1)/r! |
Ω |
0.23073987289717 |
Real period |
R |
0.142607577183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390c1 |
Quadratic twists by: -3 |